Michael Sullivan, 1544 LGRT, (413) 545-1909.
Email: my last name at math dot umass dot edu.
Office hours: Tues 12:30-2:30, Thurs 10:10-11:10.
Section 1 Tom Weston MWF 10:10-11:00 LGRT 115 Section 1 . Office hours: M 9:00-10:00, W 12:00-1:00 in LGRT 1122.
Section 2 Zhigang Han MWF 11:15-12:05 LGRT 111 Section 2 . Office hours: M 12:30-2:00, W 12:30-2:00 in LGRT 1340.
Section 3 Evgeny Materov MWF 1:25-2:15 LGRT 202 Section 3 . Office hours: M 11:00-12:00, W 11:00-12:00, F 11:00-12:00 in LGRT 1238.
Section 4 Zhigang Han MW 2:30-3:45 LGRT 111 Section 4 . Office hours: M 12:30-2:00, W 12:30-2:00 in LGRT 1340.
Section 5 Arline Norkin TTh 9:30-10:45 LGRT 321 Section 5 . Office hours: M 9:45-11:00, W 2:45-4:00 in LGRT 1624.
Section 6 Michael Sullivan TTh 11:15-12:30 LGRT 111 Section 6 . Office hours: T 12:30-2:30, Th 10:10-11:00 in LGRT 1544.
Section 7 Molly Fenn TTh 1:00-2:15 LGRT 111 Section 7 . Office hours: T 2:30-4:00 at the Blue Wall, W 4:30-5:30 in LGRT 1323D.
Section 8 Michael Sullivan TTh 2:30-3:45 LGRT 111 Section 8 . Office hours: T 12:30-2:30, Th 10:10-11:10 in LGRT 1544.
Section 9 Viktor Grigoryan TTh 11:15-12:30 LGRT 121 Section 9 . Office hours: M 9:00-11:00, W 11:00-1:00, Th 9:00-11:00 in LGRT 1323E.
Section 10 Siman Wong MWF 10:10-11:00 LGRT 123 Section 10 . Office hours: M 11:00-12:00, W 1:30-3:00 in LGRT 1115G.
Students are encouraged to attend office hours, including those held by the other instructors. The hours are listed above by instructor, and below by time of week. These hours may not be up-to-date and interested students should consult the individual instructor's section page.
Monday: 9-10 Tom, 9-11 Viktor, 9:45-11 Arline, 11-12 Evgeny, 11-12 Siman,
12:30-2 Zhigang.
Tuesday: 12:30-2:30 Mike, 2:30-4:00 Molly (Blue Wall),
6-9 Viktor (weekly review session LGRT 101).
Wednesday: 11-1 Viktor, 11-12 Evgeny, 12-1 Tom,
12:30-2 Zhigang, 1:30-3 Siman, 2:45-4 Arline, 4:30-5:30 Molly.
Thursday: 9-11 Viktor, 10:10-11:10 Mike.
Friday: 11-12 Evgeny.
Calculus: Early Transcendentals (5th Edition) by James Stewart. The text book annex now has a small packet with chapter 10 which costs $7.75; if you have the "big" book then it has this chapter in it.
Exam 1: October 10 (Wednesday), Time 7:00-9:00 pm.
Please arrive 10 minutes early. You will not be admitted
to the exam more than 30 minutes late.
For the room see the Exam 1 announcements below.
Exam 2: November 14 (Wednesday. NOTE: THIS IS A MONDAY SCHEDULE),
Time 7:00-9:00 pm.
Please arrive 10 minutes early. You will not be admitted
to the exam more than 30 minutes late.
For the room see the Exam 2 announcements below.
Final Exam: December 17, 1:30pm, Totman Gym
The snow policy can be found under "special announcements" below.
Please arrive 10 minutes early. You will not be admitted
to the exam more than 30 minutes late.
Exam 1 will cover up to Section 13.4 in the text.
Please arrive 10 minutes early. You will not be admitted to the exam more than 30 minutes late. There will be no uniform make-up exams, you must contact your individual instructor. Do not bring any cheat sheets to the exam. Please bring your student ID to the exam!
Below are some practise problems offered in previous semesters, as well as Exam 1 from Fall 2006 and Spring 2007. Because the exams are not always offered at the same exact point in the semester, the content of Exam 1 this semester may be slightly more or less, depending on the pace of this course.
Note that in the following practice exams there are questions concerning linear approximations, partial derivatives, and describing the tangent plane at some point on a graph and other material from section 14. There will be no material from section 14 on this midterm.
The following is the assignment of exam location
for each section for Exam 2 at 7:00-9:00pm on November 14, 2007:
Section 1, 2, 3, 4, 5 in MARC0131 (Marcus 131)
Section 6, 7, 8, 9, 10 in HASA0020 (Hasbrouck 20)
Exam 2 will cover Sections 14.1 - 15.2
Note that the practice
exams below are missing problems on basic calculation of partial
derivatives, finding the tangent plane to a graph or a surface, and
finding the linear approximation to a function in more than 1 variable,
material that will appear on Exam 2. Practice problems on this missing
material can be found on the practice exams for Exam 1.
Note also that Question 11(2) in the practice problems,
and Question 6 in the Spring 2007 exam, are related to
Section 15.3 (computing a double integral over a region other than
a rectangle) and will not be covered on Exam 2.
Please arrive 10 minutes early. You will not be admitted
to the exam more than 30 minutes late.
There will be no uniform make-up exams, you must contact
your individual instructor.
No cheat sheets are allowed to bring to the exam.
No formula sheet will be included in the exam this time.
Please bring your student ID to the exam!
All sections will take the Final on Monday December 17 at 1:30pm in the Totman Gym.
Snow day policy (hot line 545-3630).
The make-up policy for rescheduling the final exam due to
snow is available at
http://www.umass.edu/af/finals.htm
If the University is closed until 1:00 pm, the exam will be held as originally scheduled. If the University is closed all day but open in the evening, the exam will be re-scheduled to 6:30 pm next exam day. If the University is closed all afternoon and all evening, the exam will be re-scheduled to 6:30 pm next exam day. If the University is closed all day and all evening, the exam will be re-scheduled to 6:30 pm the exam day after next. Exam location remains unchanged on snow days.
The final exam will be cumulative, but the majority covers sections 15.3 - 15.5, 16.1-16.4.
Viktor Grigoryan will run a course-wide review session for the final on Saturday Dec 15 from 4:00-9:00 pm in LGRT 101.
Please arrive 10 minutes early. You will not be admitted to the exam if you arrive more than 30 minutes after the exam begins. There will be no uniform make-up exams. No cheat sheets are allowed to bring to the exam. No formula sheet will be included in the exam. Please bring your student ID to the exam! Below are some practise problems offered in previous semesters, as well as the Finals from Fall 2006 and Spring 2007.
The final grade will be 25% Exam 1, 25% Exam 2, 25% Final Exam and 25%
from Instructor. All scores will be scaled to a 0-100 scale before averaging.
The final grading scale is
| A: 88% - 100% | C: 66% - 71% |
| A-: 85% - 88% | C-: 63% - 66% |
| B+: 82% - 85% | D+: 60% - 63% |
| B: 77% - 82% | D: 55% - 60% |
| B-: 74% - 77% | F: 0% - 55% |
| C+ 71% - 74% |
| Week of | Sections | Remarks |
| Sept 3 | 12.1, 12.2 | First class Tuesday |
| Sept 10 | 12.3, 12.4, 12.5 | |
| Sept 17 | 12.6, 10.1, 13.1 | Add/drop deadline Sept 17 |
| Sept 24 | 13.2, 13.3, 13.4 | |
| Oct 1 | 14.1, 14.2 | |
| Oct 8 | 14.3, 14.4 | No class on Oct 8. Tuesday Oct 9 is a Monday schedule. Exam 1 on Wednesday Oct 10 |
| Oct 15 | 14.5, 14.6 | |
| Oct 22 | 14.7, 14.8 | |
| Oct 29 | 15.1, 15.2 | Withdrawal deadline Oct 29 |
| Nov 5 | 15.3, 10.3 | |
| Nov 12 | 15.4, 15.5 | No class on Nov 12. Exam 2 Wednesday Nov 14, which is a Monday schedule |
| Nov 19 | 16.1, 16.2 | No class on Thursday or Friday |
| Nov 26 | 16.2, 16.3 | |
| Dec 3 | 16.4 | |
| Dec 10 | Catch-up and review | Last day of class on Friday Dec 14 |
| Section | Topic | Recommended Homework |
| 12.1 | Three-dimensional coordinate systems | 3, 7, 11, 13, 17, 23, 31, 41 |
| 12.2 | Vectors | 1, 3, 5, 11, 15, 19, 21, 25, 31, 37 |
| 12.3 | The dot product | 5, 7, 9, 11, 17, 19, 21, 23, 27, 37, 39, 43, 51 |
| 12.4 | The cross product | 1, 3, 5, 11, 13, 15, 25, 29, 39, 45 |
| 12.5 | Equations of lines and planes | 1, 3, 5, 7, 13, 19, 23, 27, 31, 35, 39, 45, 65 |
| 12.6 | Cylinders and quadric surfaces | 3, 5, 11, 13, 21-28, 41, 43 |
| 10.1 | Curves defined by parametric equations (omit Examples 4 and 7) |
1, 3, 5, 7, 19, 21 |
| 13.1 | Vector functions and space curves | 3, 5, 7, 11, 13, 15, 17, 19-24, 33, 35, 39 |
| 13.2 | Derivatives and integrals of vector functions | 1, 3, 5, 9, 11, 13, 19, 25, 33, 37, 49 |
| 13.3 | Arc length (omit curvature) | 1, 3, 5 |
| 13.4 | Motion in space: velocity and acceleration | 3, 5, 9, 11, 15, 19, 23 |
| 14.1 | Functions of several variables | 11, 13, 23, 25, 29, 37, 39, 41, 53, 53-58 |
| 14.2 | Limits and continuity | 7, 9, 11, 27, 31 |
| 14.3 | Partial derivatives | 3, 13, 15, 17, 19, 21, 35, 37, 41, 47, 49, 81 |
| 14.4 | Tangent planes and linear approximations | 1, 3, 5, 17, 19, 23, 25, 29, 31 |
| 14.5 | The chain rule | 1, 3, 5, 7, 9, 11, 13, 17, 21, 23, 27, 29, 39 |
| 14.6 | Directional derivatives and the gradient vector | 1, 5, 7, 9, 11, 13, 21, 23, 39, 41, 53, 59 |
| 14.7 | Maximum and minimum values | 5, 7, 9, 11, 27, 29, 31 |
| 14.8 | Lagrange multipliers | 3, 5, 7, 9, 11, 19 |
| 15.1 | Double integrals over rectangles | 1, 5, 11, 13 |
| 15.2 | Iterated integrals | 3, 5, 7, 9, 11, 13, 15, 21, 23, 27, 33 |
| 15.3 | Double integrals over general regions | 1, 3, 5, 7, 9, 11, 13, 19, 21, 23, 37, 39, 43, 45, 49 |
| 10.3 | Polar coordinates (omit tangents) | 1, 3, 5, 7, 9, 15, 21, 23, 29, 31, 39 |
| 15.4 | Double integrals in polar coordinates | 9, 11, 13, 19, 21, 25, 29, 31 |
| 15.5 | Applications of double integrals | 3, 5 |
| 16.1 | Vector fields | 1, 3, 5, 11-18, 21, 25 |
| 16.2 | Line integrals | 1, 3, 5, 7, 11, 17, 19, 23, 25 |
| 16.3 | The fundamental theorem for line integrals | 3, 5, 7, 9, 11, 13, 19, 21, 23 |
| 16.4 | Green's theorem | 1, 3, 7, 9, 11, 13, 15, 19 |